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k0ka [10]
3 years ago
13

17. Atlanta, Georgia, receives an average of 27 inches of precipitation per year, and there has been 9 inches so far this year.

How many more inches, p, of precipitation can Atlanta get and to stay at or below the average? (1 point) p + 9 > 27; p > 18 9 + p ≥ 27; p ≥ 18 p + 9 < 27; p < 18 9 + p ≤ 27; p ≤ 18
Mathematics
2 answers:
Crank3 years ago
6 0

Answer:9+p\leq 27;p\leq 18


Step-by-step explanation:

We are given that Atlanta, Georgia, receives an average of 27 inches of precipitation per year

We also know that there has been 9 inches of precipitation so far this year

we need to find how many more inches, p , of precipitation can Atlanta get and to stay at or below the average

we know that there has been 9 inches of precipitation so far this year , so if Atlanta get p inches of precipitation from now then total precipitation would be sum of 9 and p

please see we are asked to find how many more inches, p, of precipitation can Atlanta get and to stay at or below the average

so it implies that sum of 9 and p should be less than or equal to the average precipitation of 27 inches

Formulating the inequality from the given information we get,

9+p\leq 27

we need to simplify the inequality further , so to isolate p we subtract 9 on both sides

9+p-9\leq 27-9

so,

p\leq 18

Hope, it helps !


kirill115 [55]3 years ago
5 0

Answer:

  9 + p ≤ 27; p ≤ 18

Step-by-step explanation:

"At or below" means "less than or equal to." Only one answer choice incorporatest that symbol into the inequality expression — the one shown above.

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beks73 [17]

Figure is missing, so i have attached it.

Answer:

it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft

Step-by-step explanation:

The standard form of equation of an ellipse is;

x²/a² + y²/b² = 1

From the figure in the image attached, we can see that the radius is; a = 52/2 = 26 ft

While the value of b = 13 ft

Thus;

x²/26² + y²/13² = 1

x²/676 + y²/169 = 1

We want to find the height of the archway of the bridge 5 feet from the center.

Thus, we will plug in 5 for x to get;

5²/676 + y²/169 = 1

(25/676) + (y²/169) = 1

Multiply through by 676 to get;

25 + 4y² = 676

4y² = 676 - 25

y² = 651/4

y² = 162.75

y = 12.76 ft

Thus height of the truck is 12 ft and so it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft

3 0
3 years ago
Maria spends 11/12 hour on her art project. Juan spends 2/6 hour on his art project.
suter [353]
Maria spent 55 minutes on her art project and Juan spent 20 minutes on his. The different is 35 minutes or 7/12 hour.

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5 0
2 years ago
You measure the weight of 38 bags of nuts, and find they have a mean weight of 78 ounces. Assume the population standard deviati
Ket [755]

Answer: The maximal margin of error is 4.822.

Step-by-step explanation:

Since we have given that

Number of bags = 38

Sample mean = 78 ounces

Standard deviation = 14.5 ounces

At 96% confidence interval for the true population mean bags of nut weight.

So, z = 2.05

As we know that formula for "Margin of error":

z\times \dfrac{\sigma}{\sqrt{n}}\\\\=2.05\times \dfrac{14.5}{\sqrt{38}}\\\\=4.822

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8 0
3 years ago
Given the line with equation 7 − 2 = 8,
timurjin [86]

Hey there!!

The basic slope-intercept formula :

y = mx+ b where ' m ' is the slope and ' b ' is the slope-intercept.

Given equation : 7x - 2y = 8

We will have to isolate the ' y '

... 7x - 2y = 8

Subtract 7x on both sides

... -2y = -7x + 8

Divide by - 2 on both sides

... y = ( 7x / 2 ) - 4

Hence,

slope = 7/2 = 3.5

y-intercept = ( 0 , -4 )

Hope it helps!!

4 0
3 years ago
Is 6.3 &gt; 6.04 reasonable yes or no Explain
Brums [2.3K]

Answer:

Yes

Step-by-step explanation:

By rounding to the 10ths place, we can easily see that 6.3 is greater than 6.04. 6.3 is already rounded to the 10ths place, but 6.04 rounded to the 10ths place is 6.0.

6.3 is clearly more than 6.0, therefore 6.3 is greater than 6.04.

3 0
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